D.Z., a 68-year-old man, is admitted at 1600 to a medical floor with a diagnosis of acute exacerbation of chronic obstructive pulmonary disease (COPD). His other past medical history includes hypertension and type 2 diabetes. He has had pneumonia yearly for the past 3 years and has been a two-pack-a-day smoker for 38 years. His current medications include enalapril (Vasotec), hydrochlorothiazide (HCTZ), metformin (Glucophage), and fluticasone/salmeterol (Advair). He appears a cachectic man who is experiencing difficulty breathing at rest. D.Z. seems irritable and anxious; he complains of sleeping poorly and states that lately he feels tired most of the time. He reports cough productive of thick yellow-green sputum. You auscultate decreased breath sounds, expiratory wheezes, and coarse crackles in both lower lobes anteriorly and posteriorly. His vital signs (VS) are $162 / 84,124,36,102^{\circ} \mathrm{F}\left(38.9^{\circ} \mathrm{C}\right)$, and $\mathrm{Spo}_2 88 \%$.

Physician's Orders Diet as tolerated Out of bed with assistance Oxygen $\left(\mathrm{O}_2\right)$ to maintain $\mathrm{Spo}_2$ of $90 \%$ IV of D5W at $50 \mathrm{~mL} / \mathrm{hr}$ ECG monitoring Arterial blood gases (ABGs) in AM CBC with differential now Basic metabolic panel (BMP) now Chest x-ray (CXR) daily Sputum culture Albuterol $2.5 \mathrm{mg}$ plus ipratropium $250 \mathrm{mcg}$ nebulizer treatment STAT

What is the primary nursing goal at this time?

Factor out the GCF from each polynomial.

$$5 x+20$$

a. Complete the table by giving the sine and cosine of the radian equivalent of each of these angles. " $$ \begin{matrix}\text{t (in radians)} & \text{sin t} & \text{cos t}\\\text{0} & \text{_} & \text{_}\\\text{_} & \mathrm{\frac{1}{2}} & \text{_}\\\mathrm{\frac{\pi}{4}} & \text{_} & \mathrm{\frac{\sqrt{2}}{2}}\\\text{_} & \mathrm{\frac{\sqrt{3}}{2}} & \text{_}\\\mathrm{\frac{\pi}{2}} & \text{_} & \text{_}\\\end{matrix} $$ " b. You learned that the sine and cosine functions can be used to model the motion of a circle with radius 1 centered at the origin. Sketch this circle and mark the points that lie on the terminal side of each of the five angles in the table. Write the coordinates of each point. c. The terminal sides of angles measuring 0 and $\frac{\pi}{2}$ radians each lie on one of the coordinates axes. There are two other angles between 0 and $2 \pi$ radians whose terminal sides lie on an axis. What are the radian measures of these angles? What are the sine and cosine of each angle? d. In Part b, you used geometric reasoning to calculate cosine and sine of three angles with terminal side in the first quadrant. Use those results and symmetry of the circle to find the cosine and sine of nine more angles-three with terminal side in Quadrant II, three with terminal side in Quadrant III, and and three with terminal side in Quadrant IV. e. In which quadrants are the sines of angles positive? Negative? Answer the same questions for the cosine.

Compare the procedures of differentiation and integration. Which seems to be the most complicated or difficult and why?

In this exercise, sketch the region bounded by the graphs of the functions, and find the area of the region.

$$f(x)=xe^{-x^2},\quad y=0,\quad 0\leq x\leq1$$

Can you set any node in the graphic property in a radio button?

Solve each open sentence.

$$\frac { x ^ { 2 } } { 9 } + \frac { x - 1 } { 10 } = 0$$

Compare the movement of ocean water in the open ocean with the movement ocean water in narrow bays.

Factor out the common factor.

$$(z+2)^2-5(z+2)$$

Why docritical points exist for liquid-gas transitions, but not for solid-liquid transitions?

Let n be a positive integer whose decomposition into prime factors has no repeated prime. Let B = {x | x is a divisor of n}. For example, if $n=21=3 \cdot 7,$ then B = {1, 3, 7, 21}. Let the following operations be defined on B:

$$x+y=\operatorname{lcm}(x, y) \quad x \cdot y=\operatorname{gcd}(x, y) \quad x^{\prime}=n / x$$

Then + and $\cdot$ are binary operations on B and $\prime$ is a unary operation on B. a. For n = 21, find (i) $3 \cdot 7$ (ii) $7 \cdot 21$ (iii) 1 + 3 (iv) 3 + 21 (v) $3^{\prime}$ b. Prove that the commutative, associative, and distributive properties hold for both + and $\cdot.$ c. Find the value of the “0” element and the “1” element, then prove properties 4 and 5 for both + and $\cdot.$ d. Consider a value for n whose decomposition has repeated primes. In particular, let $n=12=2 \cdot 2 \cdot 3.$ Prove that, using the above definitions for + and $\cdot,$ it’s not possible to define a complement for 6 in the set {1, 2, 3, 4, 6, 12}. Therefore a Boolean algebra cannot be constructed with n = 12 using the process described.

The following procedures were recently installed by The Blind Shop:

f. Disbursements are made from the petty cash fund only after a petty cash receipt has been completed and signed by the payee.

Instructions Indicate whether each of the procedures of internal control over cash represents (1) a strength or (2) a weakness. For each weakness, indicate why it exists.

What wave property is changed when AM radio signals are broadcast?

A $400.0 \mathrm{~m}$ wide river flows from west to east at $30.0 \mathrm{~m} / \mathrm{min}$. Your boat moves at $100.0 \mathrm{~m} / \mathrm{min}$ relative to the water no matter which direction you point it. To cross this river, you start from a dock at point $A$ on the south bank. There is a boat landing directly opposite at point $B$ on the north bank, and also one at point $C$, $75.0 \mathrm{~m}$ downstream from $B$. $(a)$ Where on the north shore will you land if you point your boat perpendicular to the water current, and what distance will you have traveled? $(b)$ If you initially aim your boat directly toward point $C$ and do not change that bearing relative to the shore, where on the north shore will you land? $(c)$ To reach point $C$ : $(i)$ at what bearing must you aim your boat, $(ii)$ how long will it take to cross the river, $(iii)$ what distance do you travel, and $(iv)$ and what is the speed of your boat as measured by an observer standing on the river bank?